31313031011010 has 192 divisors, whose sum is σ = 93974792820480. Its totient is φ = 7085712038400.

The previous prime is 31313031010997. The next prime is 31313031011011. The reversal of 31313031011010 is 1011013031313.

31313031011010 is a `hidden beast` number, since 31 + 313 + 0 + 310 + 1 + 1 + 0 + 10 = 666.

It is a super-2 number, since 2×31313031011010² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31313031011011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 955260801 + ... + 955293579.

It is an arithmetic number, because the mean of its divisors is an integer number (489452045940).

Almost surely, 2^{31313031011010} is an apocalyptic number.

31313031011010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313031011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46987396410240).

31313031011010 is an abundant number, since it is smaller than the sum of its proper divisors (62661761809470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31313031011010 is a wasteful number, since it uses less digits than its factorization.

31313031011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47913 (or 47910 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31313031011010 its reverse (1011013031313), we get a palindrome (32324044042323).

The spelling of 31313031011010 in words is "thirty-one trillion, three hundred thirteen billion, thirty-one million, eleven thousand, ten".